What is the general solution for sin(3x)=(sqrt(3))/2 ?

The general solution for sin(3x)=(sqrt(3))/2 is x= pi/9+(2pin)/3 ,x=(2pi)/9+(2pin)/3

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sin(3x)=(sqrt(3))/2

sin (3 x) = \frac{3}{2}

x = \frac{π}{9} + \frac{2 πn}{3}, x = \frac{2 π}{9} + \frac{2 πn}{3}

Solution steps

sin (3 x) = \frac{3}{2}

General solutions for

sin (3 x) = \frac{3}{2}

3 x = \frac{π}{3} + 2 πn, 3 x = \frac{2 π}{3} + 2 πn

Solve

3 x = \frac{π}{3} + 2 πn : x = \frac{π}{9} + \frac{2 πn}{3}

Solve

3 x = \frac{2 π}{3} + 2 πn : x = \frac{2 π}{9} + \frac{2 πn}{3}

x = \frac{π}{9} + \frac{2 πn}{3}, x = \frac{2 π}{9} + \frac{2 πn}{3}

cos^{3} (x) = 0

2 cos^{2} (x) + 3 cos (x) = 2

sin (x) cos (x) = 1

csc^{2} (x) = 2

6 sec^{2} (θ) tan (θ) = 8 tan (θ)

What is the general solution for sin(3x)=(sqrt(3))/2 ?
The general solution for sin(3x)=(sqrt(3))/2 is x= pi/9+(2pin)/3 ,x=(2pi)/9+(2pin)/3